document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=745733>Question 745733</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find all vertical asymptotes of the rational function. (Enter your answers as a comma-separated list.)<BR>\n" );
document.write( "F(x) =(x2 + 11)/(6x2 &#8722; 10x &#8722; 24)<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #453983 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=453983\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find all vertical asymptotes of the rational function. (Enter your answers as a comma-separated list.)<BR>\n" );
document.write( "F(x) =(x2 + 11)/(6x2 &#8722; 10x &#8722; 24)<BR>\n" );
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document.write( "Solve: 6x^2-10x-24 = 0<BR>\n" );
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document.write( "2(3x^2-5x-12) = 0<BR>\n" );
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document.write( "3(3x^2 -9x+4x -12) = 0<BR>\n" );
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document.write( "3(3x(x-3)+4(x-3)) = 0<BR>\n" );
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document.write( "3[(x-3)(3x+4)] = 0<BR>\n" );
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document.write( "x = 3 or x = -4/3<BR>\n" );
document.write( "There are vertical asymptotes at each of those x values.<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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